Answer:
C. 15
Step-by-step explanation:
1. First, let's solve the system of equations;
Solve -m - n = 5 for m.
Substitute -n - 5 for m in m - n = -3.
Substitute -1 for n in m = -n - 5.
2. Okay, now that we know m = -4 and n = -1, let's solve for m^2 -n^2.
Therefore, the answer is C. 15!
Answer:
nooo lol
Step-by-step explanation:
1/2 is NOT gonna be equal to 4/5 remember, if u have 4 slices of pizza thats only equal to 1/2 but if u have 7 slices u have 4/5
Definitely socratic it’ll help
Answer:
x=2
Step-by-step explanation:
Expand 5(x-1)+3: 5x-2
5x-2=7x-6
<em>add 2 both sides and simplify</em>
5x=7x-4
<em>subtract 7x from both sides</em>
5x=7x-4-7
___-7____
<em>simplify -2x=4x divide both sides</em> by 2, -2x/-2=-4/-2
x=2
Answer:

Step-by-step explanation:
we know that
To find the inverse of a function, exchange variables x for y and y for x. Then clear the y-variable to get the inverse function.
we will proceed to verify each case to determine the solution of the problem
<u>case A)</u> 
Find the inverse of f(x)
Let
y=f(x)
Exchange variables x for y and y for x
Isolate the variable y


Let


therefore
f(x) and g(x) are inverse functions
<u>case B)</u> 
Find the inverse of f(x)
Let
y=f(x)
Exchange variables x for y and y for x
Isolate the variable y


Let


therefore
f(x) and g(x) are inverse functions
<u>case C)</u> ![f(x)=x^{5}, g(x)=\sqrt[5]{x}](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E%7B5%7D%2C%20g%28x%29%3D%5Csqrt%5B5%5D%7Bx%7D)
Find the inverse of f(x)
Let
y=f(x)
Exchange variables x for y and y for x
Isolate the variable y
fifth root both members
![y=\sqrt[5]{x}](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B5%5D%7Bx%7D)
Let

![f^{-1}(x)=\sqrt[5]{x}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Csqrt%5B5%5D%7Bx%7D)
therefore
f(x) and g(x) are inverse functions
<u>case D)</u> 
Find the inverse of f(x)
Let
y=f(x)
Exchange variables x for y and y for x
Isolate the variable y





Let



therefore
f(x) and g(x) is not a pair of inverse functions